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Algorithm engineering for route planning - An update
Dorothea Wagner
Lecture Notes in Computer Science
7074
, 2011, pp. 1-5
Semidefinite programming and approximation algorithms: A survey
Sanjeev Arora
Lecture Notes in Computer Science
7074
, 2011, pp. 6-9
The School Bus Problem The School Bus Problem is an NP-hard vehicle routing problem in which the goal is to route buses that transport children to a school such that for each child, the distance travelled on the bus does not exceed the shortest distance from the child's home to the school by more than a given regret threshold. Subject to this constraint and bus capacity limit, the goal is to minimize the number of buses required. In this paper, we give a polynomial time 4-approximation algorithm when the children and school are located at vertices of a fixed tree. As a byproduct of our analysis, we show that the integrality gap of the natural set-cover formulation for this problem is also bounded by 4. We also present a constant approximation for the variant where we have a fixed number of buses to use, and the goal is to minimize the maximum regret.on trees
Adrian Bock
,
Elyot Grant
,
Jochen Könemann
,
Laura Sanità
Lecture Notes in Computer Science
7074
, 2011, pp. 10-19
Improved approximations for Buy-at-Bulk and Shallow-Light
k
-Steiner trees and
(k,2)
-subgraph
M. Reza Khani
,
Mohammad R. Salavatipour
Lecture Notes in Computer Science
7074
, 2011, pp. 20-29
Improved approximation algorithms for routing shop scheduling
Wei Yu
,
Guochuan Zhang
Lecture Notes in Computer Science
7074
, 2011, pp. 30-39
Contraction-based Steiner tree approximations in practice
Markus Chimani
,
Matthias Woste
Lecture Notes in Computer Science
7074
, 2011, pp. 40-49
Covering and piercing disks with two centers
Hee-Kap Ahn
,
Sang-Sub Kim
,
Christian Knauer
,
Lena Schlipf
,
Chan-Su Shin
,
Antoine Vigneron
Lecture Notes in Computer Science
7074
, 2011, pp. 50-59
Generating realistic roofs over a rectilinear polygon
Hee-Kap Ahn
,
Sang Won Bae
,
Christian Knauer
,
Mira Lee
,
Chan-Su Shin
,
Antoine Vigneron
Lecture Notes in Computer Science
7074
, 2011, pp. 60-69
Computing the visibility polygon using few variables
Luis Barba
,
Matias Korman
,
Stefan Langerman
,
Rodrigo I. Silveira
Lecture Notes in Computer Science
7074
, 2011, pp. 70-79
Minimizing interference in ad-hoc networks with bounded communication radius
Matias Korman
Lecture Notes in Computer Science
7074
, 2011, pp. 80-89
Hamiltonian paths in the square of a tree
Jakub Radoszewski
,
Wojciech Rytter
Lecture Notes in Computer Science
7074
, 2011, pp. 90-99
Dominating induced matchings for
P_7
-free graphs in linear time
Andreas Brandstädt
,
Raffaele Mosca
Lecture Notes in Computer Science
7074
, 2011, pp. 100-109
Finding contractions and induced minors in chordal graphs via disjoint paths
Rémy Belmonte
,
Petr A. Golovach
,
Pinar Heggernes
,
Pim van 't Hof
,
Marcin Kamiński
,
Daniël Paulusma
Lecture Notes in Computer Science
7074
, 2011, pp. 110-119
Recognizing polar planar graphs using new results for monopolarity
Van Bang Le
,
Ragnar Nevries
Lecture Notes in Computer Science
7074
, 2011, pp. 120-129
Robustness of minimum cost arborescences
Naoyuki Kamiyama
Lecture Notes in Computer Science
7074
, 2011, pp. 130-139
Path queries in weighted trees
Meng He
,
J. Ian Munro
,
Gelin Zhou
Lecture Notes in Computer Science
7074
, 2011, pp. 140-149
Dynamic range majority data structures
Amr Elmasry
,
Meng He
,
J. Ian Munro
,
Patrick K. Nicholson
Lecture Notes in Computer Science
7074
, 2011, pp. 150-159
Dynamic range selection in linear space
Meng He
,
J. Ian Munro
,
Patrick K. Nicholson
Lecture Notes in Computer Science
7074
, 2011, pp. 160-169
A dynamic stabbing-max data structure with sub-logarithmic query time
Yakov Nekrich
Lecture Notes in Computer Science
7074
, 2011, pp. 170-179
Encoding 2D range maximum queries
Mordecai Golin
,
John Iacono
,
Danny Krizanc
,
Rajeev Raman
,
S. Srinivasa Rao
Lecture Notes in Computer Science
7074
, 2011, pp. 180-189
Diameter and broadcast time of random geometric graphs in arbitrary dimensions
Tobias Friedrich
,
Thomas Sauerwald
,
Alexandre Stauffer
Lecture Notes in Computer Science
7074
, 2011, pp. 190-199
Broadcasting in heterogeneous tree networks with uncertainty
Cheng-Hsiao Tsou
,
Gen-Huey Chen
,
Ching-Chi Lin
Lecture Notes in Computer Science
7074
, 2011, pp. 200-209
Optimal file distribution in peer-to-peer networks
Kai-Simon Goetzmann
,
Tobias Harks
,
Max Klimm
,
Konstantin Miller
Lecture Notes in Computer Science
7074
, 2011, pp. 210-219
Animal testing
Adrian Dumitrescu
,
Evan Hilscher
Lecture Notes in Computer Science
7074
, 2011, pp. 220-229
Cutting out polygons with a circular saw
Adrian Dumitrescu
,
Masud Hasan
Lecture Notes in Computer Science
7074
, 2011, pp. 230-239
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